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Sbornik: Mathematics, 1998, Volume 189, Issue 11, Pages 1643–1656
DOI: https://doi.org/10.1070/sm1998v189n11ABEH000370
(Mi sm370)
 

This article is cited in 9 scientific papers (total in 9 papers)

Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge–Ampere equations

B. S. Kruglikov

M. V. Lomonosov Moscow State University
References:
Abstract: Three related classification problems on four-manifolds are discussed. First, regular distributions are considered and described locally. After that a classification of almost complex structures of general position in terms of distributions is proposed. Finally, non-degenerate generalized Monge–Ampere equations are classified in terms of $\{e\}$-structures. Symplectic Lie algebras are also considered in an appendix.
Received: 06.02.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 11, Pages 61–74
DOI: https://doi.org/10.4213/sm370
Bibliographic databases:
UDC: 514.763
MSC: Primary 53C15, 53C12; Secondary 35J60
Language: English
Original paper language: Russian
Citation: B. S. Kruglikov, “Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge–Ampere equations”, Mat. Sb., 189:11 (1998), 61–74; Sb. Math., 189:11 (1998), 1643–1656
Citation in format AMSBIB
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\paper Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge--Ampere equations
\jour Mat. Sb.
\yr 1998
\vol 189
\issue 11
\pages 61--74
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\pages 1643--1656
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Linking options:
  • https://www.mathnet.ru/eng/sm370
  • https://doi.org/10.1070/sm1998v189n11ABEH000370
  • https://www.mathnet.ru/eng/sm/v189/i11/p61
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:396
    Russian version PDF:173
    English version PDF:11
    References:47
    First page:1
     
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